I'll try to add a practical example to this:
One situation where you can have current and no voltage in DC electronics is with solar cells. As light hits a solar cell an energy transfer occurs that causes a current, if the cell has a wire attached connecting the positive and negative (ground) terminals then this current will travel along the wire and back into the cell. There can be quite a lot of current but no voltage, as the wire has no resistance.
If we go to the other extreme and remove the wire from the solar cell, the energy transfer from light to electricity still occurs but the current gets "stuck" at the terminals of the device. This current builds up (almost instantly) to a set voltage. In this case the voltage can be measured but there is no current flow because the resistance between the terminals is infinite.
Now, if we attached a resistor across the solar cell (lets make it a big one) some of the current is able to flow through it and back to the cell. Assuming the resistance is large the current flow will be small and the voltage won't reduce very much.
If we added a much smaller resistance then it is really easy for the current to flow out of the solar cell and back to the other side. Not all of the current can get through at once though, so we can still see a small voltage across the solar cell (caused by some "stuck" current).
By changing the resistance we put across the solar cell we can change the relationship between the current and voltage, as you have seen power = current x voltage so if we have 0 current and lots of voltage (or the other way round) you can see how we have 0 power. By adding resistance we get a little bit of both and as such we get power. That power is quite literally heat lost in the resistor in case you were wondering where the energy goes.
NB: This is a hugely simplified example and explanation but if you are as noob as you claim then this should do the trick.